A pond contains 1000 fish, 100 of which have been tagged. You catch 10 fish. How many of the fish would you expect to be tagged?
Question
A pond contains 1000 fish, 100 of which have been tagged. You catch 10 fish. How many of the fish would you expect to be tagged?
Solution
To solve this problem, you can use the concept of probability.
Step 1: Determine the proportion of tagged fish in the pond. There are 100 tagged fish out of 1000 total fish. So, the proportion of tagged fish is 100/1000 = 0.1 or 10%.
Step 2: Apply this proportion to the number of fish you catch. If you catch 10 fish, and 10% of all fish are tagged, you would expect to catch 10 * 0.1 = 1 tagged fish.
So, you would expect to catch 1 tagged fish out of the 10 fish you caught.
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